SOLUTION: i need to see a sketch graph of y=tan(x-pi) the asymtotes are whats confussing me? thank you for your help if you can send a picture of the sketch graph that would be wonderful

Algebra ->  Trigonometry-basics -> SOLUTION: i need to see a sketch graph of y=tan(x-pi) the asymtotes are whats confussing me? thank you for your help if you can send a picture of the sketch graph that would be wonderful      Log On


   

Question 409043: i need to see a sketch graph of y=tan(x-pi) the asymtotes are whats confussing me? thank you for your help if you can send a picture of the sketch graph that would be wonderful
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
i need to see a sketch graph of y=tan(x-pi) the asymtotes are whats confussing me? thank you for your help if you can send a picture of the sketch graph that would be wonderful
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Since tan(x-pi) = sin(x-pi)/cos(x-pi), asymptotes
occur when cos(x-pi) = 0
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Solve cos(x-pi) = 0
x-pi = (pi/2) or x-pi = (3/2)pi
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x = -(pi/2) or x = (5/2)pi)
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Also, the period of the tan is pi.
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So asymptotes occur at:
-(pi/2) +- n(pi) or
(5/2)pi +- n(pi)
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graph%28400%2C300%2C-6%2C6%2C-80%2C80%2Ctan%28x-pi%29%29
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Cheers,
Stan H.
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